WAITING FOR A GAP IN TRAFFIC
CALIFORNIA UNIV BERKELEY OPERATIONS RESEARCH CENTER
Pagination or Media Count:
The waiting-time is considered of a driver on a secon ary road who wishes to enter or cross a primary traffic stream, given that he will do so only when the spacing to the next vehicle is at least as great as some fixed critical gap. The initial waiting-time distribution and its first two moments are obtained under the assumption of arbitrary starting-up and headway distributions of the primary traffic stream. Under the assumption that only one car may enter the intersection per gap, the distribution of successive waiting times the inter-gap distribution and its moments are obtained. The counting distribution of the passing of gaps is then used to describe the numbers of cars which leave the secondary road during a fixed interval of time. Various asymptotic and limiting results are demonstrated, together with the special results obtained when the traffic is P isson. The necessary modifications for other gap criteria are also indicated.
- Surface Transportation and Equipment